Predicting PDF tails in systems with logarithmic non-linearity

Anderson, J. and Kim, E.J. (2010) Predicting PDF tails in systems with logarithmic non-linearity. Physics Letters A, 374 (15-16). pp. 1621-1624. ISSN 0375-9601

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Abstract

The probability density function (PDF) of flux R is computed in systems with logarithmic non-linearity using a model non-linear dynamical equation. The PDF tails of the first moment flux are analytically predicted to be power law. These PDF tails are shown to be broader than a Gaussian distribution and are a manifestation of intermittency caused by short lived coherent structures (instantons). (c) 2010 Elsevier B.V. All rights reserved.

Item Type:	Article
Copyright, Publisher and Additional Information:	© 2010 Elsevier. This is an author produced version of a paper subsequently published in Physics Letters A. Uploaded in accordance with the publisher's self-archiving policy.
Keywords:	Probability-Distribution Function; Drift-Wave Turbulence; Schrodinger-Equation; Edge Turbulence; Plasma Edge; Transport; Mechanics; Model; Intermittency; Instantons
Academic Units:	The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User:	Miss Anthea Tucker
Date Deposited:	17 May 2010 08:31
Last Modified:	08 Feb 2013 17:00
Published Version:	http://dx.doi.org/10.1016/j.physleta.2010.02.017
Status:	Published
Publisher:	Elsevier
Identification Number:	10.1016/j.physleta.2010.02.017
URI:	http://eprints.whiterose.ac.uk/id/eprint/10828

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